Continuous Wood Backplate Problem

I am building a neckthru with a 5 piece maple/purpleheart neck and a mahogany body with walnut laminates. I am using light wave monolithic bridges/pickups, which means the electronics cavity has to extend off of the wings onto the neck and so I don't know how to do the continuous wood back plates. I was thinking that I could cut out the outlines on the wing laminates and sand them down to 1/16 of an inch thick, and use a saw of some sort to cut a similar piece out of the neck. Then I could attach the pieces to some plastic that was cut out to the same shape as the cavity, and rout it 1/8 inches deep. Does anybody have any tips, or advice? Also do you think that it is too much work with little benefit?